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Finding the Fourth Proportional to 389,640.20, 584,460.30 and 256,929.80

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Solution

The fourth proportional to 389,640.20, 584,460.30 and 256,929.80 is: 385,394.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,640.20 : 584,460.30 = 256,929.80 : x
  2. Step 2: Convert to fraction form
    389,640.20/584,460.30 = 256,929.80/x
  3. Step 3: Cross multiply
    389,640.20x = 584,460.30 × 256,929.80
  4. Step 4: Simplify right side
    389,640.20x = 150,165,267,986.94
  5. Step 5: Solve for x
    x = 150,165,267,986.94/389,640.20
  6. Step 6: Final answer
    x = 385,394.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.